curl_2 - PHY2061 R. D. Field Stokes Theorem Stokes Theorem:...

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PHY2061 R. D. Field Department of Physics curl_2.doc Univesity of Florida Stokes’ Theorem Stokes’ Theorem: = × C r d F A d F ! ! ! ! ! ) ( Proof ( sketch ): × × = Γ = = Γ = = S A N N i i i N i i i i C A d F n F A A A r d F i ! ! ! ! ! ! ! ) ( ˆ ) ( 0 1 1 In cartesian (or retangular) coordinates: z z y y x x + + = ˆ ˆ ˆ ! z y x F F F z y x z y x F G = × =
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